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What is the Least Common Multiple of 16664 and 16671?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 16664 and 16671 is 277805544.

LCM(16664,16671) = 277805544

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Least Common Multiple of 16664 and 16671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16664 and 16671, than apply into the LCM equation.

GCF(16664,16671) = 1
LCM(16664,16671) = ( 16664 × 16671) / 1
LCM(16664,16671) = 277805544 / 1
LCM(16664,16671) = 277805544

Least Common Multiple (LCM) of 16664 and 16671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16664 and 16671. First we will calculate the prime factors of 16664 and 16671.

Prime Factorization of 16664

Prime factors of 16664 are 2, 2083. Prime factorization of 16664 in exponential form is:

16664 = 23 × 20831

Prime Factorization of 16671

Prime factors of 16671 are 3, 5557. Prime factorization of 16671 in exponential form is:

16671 = 31 × 55571

Now multiplying the highest exponent prime factors to calculate the LCM of 16664 and 16671.

LCM(16664,16671) = 23 × 20831 × 31 × 55571
LCM(16664,16671) = 277805544